1153206131 has 64 divisors (see below), whose sum is σ = 1557964800. Its totient is φ = 844462080.

The previous prime is 1153206127. The next prime is 1153206137. The reversal of 1153206131 is 1316023511.

It is not a de Polignac number, because 1153206131 - 2² = 1153206127 is a prime.

It is a super-2 number, since 2×1153206131² = 2659768761151978322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 1153206097 and 1153206106.

It is not an unprimeable number, because it can be changed into a prime (1153206137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8417495 + ... + 8417631.

It is an arithmetic number, because the mean of its divisors is an integer number (24343200).

Almost surely, 2^1153206131 is an apocalyptic number.

1153206131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1153206131 is a deficient number, since it is larger than the sum of its proper divisors (404758669).

1153206131 is a wasteful number, since it uses less digits than its factorization.

1153206131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 1153206131 is about 33958.8888363562. Note that the first 4 decimals coincide. The cubic root of 1153206131 is about 1048.6622816323.

Adding to 1153206131 its reverse (1316023511), we get a palindrome (2469229642).

The spelling of 1153206131 in words is "one billion, one hundred fifty-three million, two hundred six thousand, one hundred thirty-one".